摘要
利用既约集合套讨论了直觉模糊子环和直觉模糊理想的一些性质,并在两个经典环同态与同构意义下,定义了直觉模糊商环,商直觉模糊子环,以及直觉模糊子环的直和,并讨论了其相关性质。
In this paper, some properties of intuitionistic fuzzy subrings and intuitionistic fuzzy ideals are discussed by irreducible nested sets. And, in the sense of homomorphism and isomorphism between two classical rings, we define the concepts of the intuitionistic fuzzy quotient ring, quotient intuitionistic fuzzy subring and direct summation of intuitionistic fuzzy subrings, and some characters are discussed.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第2期98-105,共8页
Fuzzy Systems and Mathematics
基金
国家自然科学基金项目(70461001)
海南省高校硕士研究生创新科研课题(Hxwsy2008-21)
关键词
直觉模糊子环
直觉模糊理想
直觉模糊商环
商直觉模糊子环
既约集合套
Intuitionistic Fuzzy Subring
Intuitionistie Fuzzy Ideal
Intuitionistic Fuzzy Quotient Ring
Quotient Intuitionistic Fuzzy Subring
Irreducible Nested Set
